Answer:
equivalent fraction: 100/400; decimal equivalent: 0.25
Step-by-step explanation:
The expression for the area in terms of the width is:
A
=
w
2
+
7
w
When
w
=
12
, the area is
228
units.
Explanation:
We know that the formula for the area of a rectangle is:
Area = length x width
A
=
l
w
In this specific case, though, we are told that the length is
7
units greater than the width:
l
=
w
+
7
We can substitute this value for
l
into our area formula, and then there will be only one variable on the right-hand side:
A
=
l
w
=
(
w
+
7
)
w
=
w
2
+
7
w
This expression is the answer to the final sentence in the question, asking us to write an expression for
A
in terms only of
w
.
Now we can use our expression to find the area in the situation where
w
=
12
:
A
=
w
2
+
7
w
=
12
2
+
7
×
12
=
144
+
84
=
228
units
4x^2+16x+14=0
I just transfered the given equation to the other side..that must be in a standard form where ax^2+bx+c=0
Answer:
C. Region B
Step-by-step explanation:
Since you already have the graphs of the lines, you only need to shade the proper area.
For the first equation, since y is less or equal than x-2 you have to shade the bottom part of the line.
For the second one, since y is more or equal to 1/4x+4 you have to shade the upper part of the line.
The answer is the region where the to shaded parts intersects each other.
Hope this helped you!
